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A144781
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Variant of Sylvester's sequence: a(n+1) = a(n)^2 - a(n) + 1, with a(1) = 8
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15
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8, 57, 3193, 10192057, 103878015699193, 10790642145601683494645152057, 116437957914435303575899742229333045108448631998006179193, 13557798043283806950297045269968250387897834581711367551819275131055206893868524458302302046950954641412419952057
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OFFSET
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1,1
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REFERENCES
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Mohammad K. Azarian, Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Problem 958, College Mathematics Journal, Vol. 42, No. 4, September 2011, p. 330. Solution published in Vol. 43, No. 4, September 2012, pp. 340-342.
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LINKS
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Table of n, a(n) for n=1..8.
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FORMULA
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a(n) = A144805^(2^n).
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MATHEMATICA
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a = {}; k = 8; Do[AppendTo[a, k]; k = k^2 - k + 1, {n, 1, 10}]; a or Table[Round[2.741677474442337767760304453336477418973312819744397509318140002476846832783935678344394661686353109760077601324333^(2^n)], {n, 1, 8}] (*Artur Jasinski*)
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CROSSREFS
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A000058, A082732, A144779 - A144788
Sequence in context: A208596 A002402 A015464 * A026948 A111585 A055839
Adjacent sequences: A144778 A144779 A144780 * A144782 A144783 A144784
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski, Sep 21 2008
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STATUS
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approved
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